pith. sign in
Pith Number

pith:UOKXPAP7

pith:2001:UOKXPAP7E7UMPYRSUR2OFLWY7O
not attested not anchored not stored refs pending

From Geometry to Quantum Computation

Kazuyuki Fujii

arxiv:quant-ph/0107128 v1 · 2001-07-26 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UOKXPAP7E7UMPYRSUR2OFLWY7O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T00:36:52.386616Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a3957781ff27e8c7e232a474e2aed8fbba936fbd2117c4457dc9ec6f7fad9e2a

Aliases

arxiv: quant-ph/0107128 · arxiv_version: quant-ph/0107128v1 · doi: 10.48550/arxiv.quant-ph/0107128 · pith_short_12: UOKXPAP7E7UM · pith_short_16: UOKXPAP7E7UMPYRS · pith_short_8: UOKXPAP7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UOKXPAP7E7UMPYRSUR2OFLWY7O \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a3957781ff27e8c7e232a474e2aed8fbba936fbd2117c4457dc9ec6f7fad9e2a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e352ed9696076cad1ce0b4afbcd27177666075cd6c9a9a0c4fdf056581bf74a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-07-26T05:26:11Z",
    "title_canon_sha256": "8a805d491e1da2eb9bcf8bcfd606eb3661ec4df3fbff3d83814997c1f56e0e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0107128",
    "kind": "arxiv",
    "version": 1
  }
}